RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 Pie Charts
Here we have provided RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 for the ease of the students. From this article you can also download this chapter's PDF.
Ananya Gupta14 Aug, 2024
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RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1: RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 on Pie Charts provides detailed guidance on understanding and solving problems related to circular representations of data. This exercise focuses on constructing and interpreting pie charts, which are essential for visualizing statistical information.
The solutions cover various aspects, including calculating angles for different sectors based on given data, drawing accurate pie charts, and analyzing the information they represent. By following these solutions students can develop a solid grasp of how to effectively use pie charts to represent and analyze data.RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 Pie Charts Overview
RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 focuses on Pie Charts a important topic in data representation. This exercise guides students through the process of constructing and interpreting pie charts, which are used to visually display data proportions. The solutions include step-by-step instructions on how to convert data into angles for each sector of the pie chart, ensuring accurate representation. Students learn to calculate the angle for each segment by using the formula based on the data’s percentage or fraction. The exercise covers how to draw the pie chart accurately and interpret the visual information to analyze data effectively. Through this exercise students gain important skills in data visualization and analysis enhancing their ability to present and understand statistical information.RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 PDF
You can access the detailed RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 on Pie Charts through the provided PDF links below. This resource provide a detailed explanations and step-by-step solutions to help students grasp the concepts of constructing and interpreting pie charts effectively. By reviewing the PDF students can better understand how to represent data visually calculate sector angles, and accurately draw pie charts. This valuable material supports enhanced learning and mastery of pie charts in data analysis.RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 Pie Charts PDF
RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 (Ex 23A)
Below we have provided RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 Pie Charts-(Question 1) The monthly income of a family is Rs 28800. The monthly expenditure of the family on various items is given below.
| Item | Rent | Food | Clothing | Education | Savings |
| Expenditure(in Rs) | 8000 | 10800 | 5600 | 3600 | 800 |
Solution:
Total money = Rs 28800 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are 100
o
, 135
o
, 70
o
, 45
o
, 10
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 2) There are 900 creatures in a zoo as per list given below:
| Beast animals | Other land animals | Birds | Water animals | Reptiles |
| 150 | 400 | 175 | 125 | 50 |
Solution:
Total creatures = 900 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are 60
o
, 160
o
, 70
o
, 50
o
, 20
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 3) Various modes of transport used by 1260 students in a given school are given below:
| School bus | Private bus | Bicycle | Rickshaw | On foot |
| 350 | 245 | 210 | 175 | 280 |
Solution:
Total transport = 1260 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are 100
o
, 70
o
, 60
o
, 5
o
, 8
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 4) The data given below shows number of hours spent by a school boy on different activities on a working day.
| Activity | School | Homework | Play | Sleep | Others | Total |
| Number of hours | 7 | 4 | 2 | 8 | 3 | 24 |
Solution:
Total spent time = 24 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are 105
o
, 60
o
, 30
o
, 120
o
, 45
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 5) The data on religion wise division of 1080 workers of a factory are given below:
| Religion | Hindu | Muslim | Sikh | Christian |
| Number of workers | 450 | 270 | 255 | 105 |
Solution:
Total worker = 1080 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are 105
o
, 90
o
, 85
o
, 35
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 6) The marks obtained by Sudhir in an examination are given below:
| Subject | English | Hindi | Mathematics | Science | Social Science |
| Marks obtained | 105 | 75 | 150 | 120 | 90 |
Solution:
Total marks obtained = (105+75+150+120+90) = 540 Calculation of central angles Construction of pie chart (i) Draw a circular of any convenient radius. (ii) Draw a horizontal radius of this circle. (iii) Starting from the horizontal radius, draw sectors whose central angles are 70 o , 50 o , 100 o , 80 o , 60 o . (iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure. Thus, we obtain the required pie chart, as shown in the adjoining figure.(Question 7) The following table gives the number of different fruits kept in a hamper.
| Type of fruit | Mangoes | Apples | Oranges | Coconuts | Pomegranates |
| Number | 26 | 30 | 21 | 5 | 8 |
Solution:
Total number of fruits = (26+30+21+5+8) = 90 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are104
o
, 120
o
, 84
o
, 20
o
, 32
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 8) The following data shows the agriculture production in India during a certain year.
| Food grain | Rice | Wheat | Coarse cereals | pulses |
| Production (in millions of tonnes) | 57 | 76 | 38 | 19 |
Solution:
Total production = (57+76+38+19) = 190 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are108
o
, 144
o
, 72
o
, 36
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 9) Given below is the result of an annual examination of a class, showing the percentage of students in each category.
| First division | Second division | Third division | Failed |
| 25% | 45% | 20% | 10% |
Solution:
Total percentage = (25+45+20+10) = 100 Calculation of central angles
Construction of pie chart
(i) Draw a circular of any convenient radius.
(ii) Draw a horizontal radius of this circle.
(iii) Starting from the horizontal radius, draw sectors whose central angles are90
o
, 162
o
, 72
o
, 36
o
.
(iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure.
Thus, we obtain the required pie chart, as shown in the adjoining figure.
(Question 10) The following table shows the percentages of buyers of four different brands of bathing soaps.
| Brand | A | B | C | D |
| Percentage of buyers | 20% | 40% | 25% | 15% |
Solution:
Total percentage = (20+40+25+15) = 100 Calculation of central angles Construction of pie chart (i) Draw a circular of any convenient radius. (ii) Draw a horizontal radius of this circle. (iii) Starting from the horizontal radius, draw sectors whose central angles are72 o , 144 o , 90 o , 54 o . (iv) Shade the sectors so obtain the required pie chart, as shown in the adjoining figure. Thus, we obtain the required pie chart, as shown in the adjoining figure.Benefits of RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1
- Clear Understanding: The solutions provide a step-by-step approach to constructing and interpreting pie charts helping students grasp the fundamental concepts of data representation and analysis.
- Accurate Calculations: Detailed explanations ensure students learn how to calculate angles for each sector based on the given data, reducing errors and improving accuracy in drawing pie charts.
- Visual Learning: By working through the exercise students can visually understand how data proportions are represented in pie charts, which enhances their ability to interpret and analyze graphical data effectively.
- Enhanced Problem-Solving Skills: The exercise helps develop critical thinking and problem-solving skills as students practice converting data into pie charts and interpreting the results.
- Foundation for Advanced Topics: Mastery of pie charts sets a strong foundation for understanding more complex statistical and data analysis topics in higher classes.
RS Aggarwal Solutions for Class 8 Maths Chapter 23 Exercise 23.1 FAQs
What is a pie chart?
A pie chart is a circular graph divided into slices to illustrate numerical proportions. Each slice represents a category's contribution to the total, making it easy to see the relative sizes of each category.
What information can be derived from a pie chart?
Pie charts help in understanding the proportion of each category relative to the whole. They provide a visual representation of how different segments contribute to the total, which is useful for comparing relative sizes.
When should you use a pie chart?
Use a pie chart when you want to show the relative proportions of a few categories or when you need to visualize how different parts make up a whole. It’s particularly effective with data that adds up to 100%.
What are the limitations of pie charts?
Pie charts can become cluttered and hard to interpret if there are too many categories. They are less effective for comparing multiple datasets or showing changes over time.
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